1486056768 has 224 divisors, whose sum is σ = 4796722944. Its totient is φ = 396361728.

The previous prime is 1486056757. The next prime is 1486056769. The reversal of 1486056768 is 8676506841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1486056768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1486056769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4409496 + ... + 4409832.

Almost surely, 2^1486056768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1486056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398361472).

1486056768 is an abundant number, since it is smaller than the sum of its proper divisors (3310666176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1486056768 is a wasteful number, since it uses less digits than its factorization.

1486056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 1486056768 is about 38549.4068436857. The cubic root of 1486056768 is about 1141.1563029110.

The spelling of 1486056768 in words is "one billion, four hundred eighty-six million, fifty-six thousand, seven hundred sixty-eight".